PoS - Proceedings of Science
Volume 430 - The 39th International Symposium on Lattice Field Theory (LATTICE2022) - Plenaries
Use of Schwinger-Dyson equation in constructing an approximate trivializing map
P. Boyle, T. Izubuchi, L. Jin, C. Jung, C. Lehner, N. Matsumoto* and A. Tomiya
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Pre-published on: January 05, 2023
Published on: April 06, 2023
We construct an approximate trivializing map by using a Schwinger-Dyson equation. The advantage of this method is that: (1) The basis for the flow kernel can be chosen arbitrarily by hand. (2) It can be applied to the general action of interest. (3) The coefficients in the kernel are determined by lattice estimates of the observables, which does not require analytic calculations beforehand. We perform the HMC with the effective action obtained by the Schwinger-Dyson method, and show that we can have better control of the effective action than the known $t$-expansion construction. However, the algorithmic overhead is still large and overwhelming the gain though faster decorrelation is observed for long-range observables in some cases. This contribution reports the preliminary results of this attempt.
DOI: https://doi.org/10.22323/1.430.0229
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